Exxample 9. the set of all real valued continuous (differentiable or functons ofr defined in interval [0, 1| 1s a vector space over a ficld r of real n solution

EXxample 9. The set of all real valued continuous (differentiable or functons ofr defined in interval [0, 1| 1s a vector space over a ficld R of real n Solution. We define addition and scalar multiplication as undeer e or integrable Hence 1S a vector spa numbes